Given a hash table indexed from 0 to 4.

Index

0

1

2

3

4

Value

17

15

and a sequence of keys: 5, 3, 2

Given the hashing function h(x) = (2x + 3) mod 5 and probe function p(i) = i3 , where x is the

key value and i is the number of steps taken along the probe sequence.

a)

Show the hash table after all keys has been inserted by h(x) and using the given probe

function when collision occurred.

(6 marks)

b)

What is the drawback of this method? Explain it in detail.

(4 marks)

4. [10 marks) Given a hash table indexed from 0 to 4. 0 1 4 Index Value 2 17 3 15 and a sequence of keys: 5, 3,2 Given the hashing function h(x) = (2x + 3) mod 5 and probe function p(i)= ", where x is the key value and i is the number of steps taken along the probe sequence. a) Show the hash table after all keys has been inserted by h(x) and using the given probe function when collision occurred. (6 marks) b) What is the drawback of this method? Explain it in detail. (4 marks)